Speaker
Nguyen Viet Dang
(Sorbonne Université)
Description
In this course, I will try to give an introduction to the nonperturbative construction of certain models of quantum field theories on manifolds. I will focus on the construction of the $P(\phi)_2$ theories on Riemann surfaces using both the Nelson bounds and the stochastic partial differential (SPDE) methods. Then I plan to discuss the Kontsevich-Segal axioms for this model following a recent construction of Jiasheng Lin. Finally, I will conclude the course by sketching the construction of the $\Phi^4_3$ measure on 3-manifolds based on SPDE methods which is joint work with Bailleul-Ferdinand-To.
(part 1)
